〈a, b | aab=b, baba=bab〉

Properties

• Infinite non-commutative monoid

Completion parameters

• Reduction order: left-to-right acb
• Auxiliary generator ba=c

Complete rewriting system

1. cb ⇒ c²
2. ba ⇒ c
3. a²c ⇒ c
4. a²b ⇒ b
5. cac ⇒ bc
6. cab ⇒ b²
7. c²a ⇒ c²

Right Cayley graph (truncated)

Left Cayley graph (truncated)